Manager Redknapp admitted Spurs faced an "impossible task" to overturn last week's 4-0 first leg deficit and, despite his side's best efforts, there was no miracle comeback at White Hart Lane as Real Madrid won 1-0 on the night to complete a 5-0 aggregate win.
Redknapp said: "We've seen some great football in the Champions League this year, home and away. First season in the Champions League, to come as far as we have and to play the way we have played throughout the run has been great for everybody. It's been a great experience for the players and myself. We've all enjoyed it very much."
He added: "It's very difficult to retain that top-four spot but that's something we've got to aim to do at Tottenham.
"We've got to be up there every year. We should be.
"If we can make the top four again, it would be a great achievement.
"It will be even harder this year than it was last year because of the improvement Man City have made.
"I still think we've got a big chance. We've got tough games. We've got Arsenal here next week, then we've got Chelsea, we've got to go to Man City.
"But they're great games to look forward to and it's good to be in there playing these games and having something to play for still.
"It's better than sitting 12th in the league."
Source: PA
Source: PA